ABCD is a quadrilateral in which and .

MATHEMATICS · Multi-part · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

ABCD is a quadrilateral in which

AB = CD

and

AB \parallel CD

. (i) Prove that

ABCD

is a parallelogram. (ii) If

\angle A = 70^{\circ}

, find the measure of

\angle C

. (iii) Prove that the diagonals

AC

and

BD

bisect each other.